1086805440 has 672 divisors, whose sum is σ = 4625547264. Its totient is φ = 228925440.

The previous prime is 1086805387. The next prime is 1086805469. The reversal of 1086805440 is 445086801.

1086805440 is a `hidden beast` number, since 108 + 6 + 8 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1086805440² = 2362292128827187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1086805395 and 1086805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23123497 + ... + 23123543.

Almost surely, 2^1086805440 is an apocalyptic number.

1086805440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312773632).

1086805440 is an abundant number, since it is smaller than the sum of its proper divisors (3538741824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1086805440 is a wasteful number, since it uses less digits than its factorization.

1086805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1086805440 is about 32966.7323221456. The cubic root of 1086805440 is about 1028.1360829606.

The spelling of 1086805440 in words is "one billion, eighty-six million, eight hundred five thousand, four hundred forty".